Ergodic solenoids and generalized currents
Differential Geometry
2010-09-16 v2 Dynamical Systems
Abstract
We introduce the concept of solenoid as an abstract laminated space. We do a thorough study of solenoids, leading to the notion of ergodic and uniquely ergodic solenoids. We define generalized currents associated with immersions of oriented solenoids with a transversal measure into smooth manifolds, generalizing Ruelle-Sullivan currents.
Cite
@article{arxiv.0910.2836,
title = {Ergodic solenoids and generalized currents},
author = {Vicente Muñoz and Ricardo Perez-Marco},
journal= {arXiv preprint arXiv:0910.2836},
year = {2010}
}
Comments
28 pages, 2 figures. Fully revised presentation of the paper. Accepted in Revista Matematica Complutense. The final publication is available at http://www.springerlink.com